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Popular >

f(x)=3x^2-24x+46

Solution

f (x) = 3 x^{2} - 24 x + 46

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2

X Intercepts : (\frac{12 + 6}{3}, 0), (\frac{12 - 6}{3}, 0), Y Intercepts : (0, 46)

Vertex : Minimum (4, - 2)

Inverse : \frac{24 + 12 x + 24}{6}, \frac{24 - 12 x + 24}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, \infty)

Solution steps

Domain of

3 x^{2} - 24 x + 46 : - \infty < x < \infty

Range of

3 x^{2} - 24 x + 46 : f (x) \geq - 2

Axis interception points of

3 x^{2} - 24 x + 46 :

X Intercepts

: (\frac{12 + 6}{3}, 0), (\frac{12 - 6}{3}, 0),

Y Intercepts

: (0, 46)

Vertex of

3 x^{2} - 24 x + 46 :

Minimum

(4, - 2)

Inverse of

3 x^{2} - 24 x + 46 : \frac{24 + 12 x + 24}{6}, \frac{24 - 12 x + 24}{6}

Popular Examples

y = x^{2} - 10 x + 4

f (x) = x^{\frac{1}{3}} + x

f(x)=(4sin(x)-3)/(4+sin(x))

f (x) = \frac{4 sin ( x ) - 3}{4 + sin ( x )}

y=10(t^3+4t^2+t-6)

y = 10 (t^{3} + 4 t^{2} + t - 6)

f(x)={x+2:x<0,x^2-1:0<= x<= 3,8:x>3}

f (x) = {x + 2 : x < 0, x^{2} - 1 : 0 \leq x \leq 3, 8 : x > 3}

Frequently Asked Questions (FAQ)

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